Analytic Trigonometry with Applications
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Analytic Trigonometry with Applications

Analytic Trigonometry with Applications


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About the Book

Table of Contents:
1. RIGHT TRIANGLE RATIOS. Angles, Degrees, and Arcs. Similar Triangles. Trigonometric Ratios and Right Triangles. Right Triangle Applications. Group Activity: A logistics Problem. Review. 2. TRIGONMETRIC FUNCTIONS. Degrees and Radians. Linear and Angular Velocity. Trigonometric Functions. Additional Applications. Exact Value for Special Angles and Real Numbers. Circular Functions. Group Activity: Speed of Light in Water. Review. 3. GRAPHING TRIGONMETRIC FUNCTIONS. Basic Graphs. Graphing y= k + A sin Bx and y = k + A cos Bx. Graphing y = k + A cos (Bx + C). Additional Applications. Addition of Ordinates. Tangent, Cotangent, Secant, and Cosecant Functions Revisited. Group Activity: Preditor-Prey Analysis. Review. Cumulative Review Exercise, Chapters 1-3. 4. IDENTITIES. Fundamental Identities and Their Use. Verifying Trigonometric Identities. Sum, Difference, and Confunction Identities. Double-Angle and Half-Angle Identities. Product-Sum and Sum-Product Identities. Activity: From M sin Bt + N cos Bt to. A sin (Bt + C). Review. 5. INVERSE TRIGONMETRIC FUNCTIONS. Trigonometric Equations. Inverse Sine, Cosine, and Tangent Functions. Inverse Cotangent, Secant, and Cosecant Functions. Trigonometric Equations: An Algebraic Approach. Trigonometric Equations: A Graphing Utility Approach. Group Activity. Review. Cumulative Review Exercise, Chapters 1-5. 6. ADDITIONAL TRIANGLE TOPICS: VECTORS. Law of Sines. Law of Cosines. Area of Triangles. Vectors: Geometrically Defined. Algebraically Defined. Parametric Equations. Group Activity. Review. 7. POLAR COORDINATES: COMPLEX NUMBERS. Polar and Rectangular Coordinates. Sketching Polar Equations. Complex Numbers in Rectangular and Polar Forms. De Moivre's Theorem and the nth Root Theorem. Group Activity. Review. Cumulative Review Exercise, Chapters 1-7. APPENDIX A COMMENTS ON NUMBERS. Real Numbers. Complex Numbers. Significant Digits. APPENDIX B FUNCTIONS AND INVERSE FUNCTIONS. Functions. Inverse Functions. APPENDIX C PLANE GEOMETRY: SOME USEFUL FACTS. Lines and Angles. Triangles. Quadrilaterals. Circles. SELECTED ANSWERS.


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Product Details
  • ISBN-13: 9780534358389
  • Publisher: Thomson Brooks/Cole
  • Publisher Imprint: Thomson Brooks/Cole
  • Height: 248 mm
  • Returnable: N
  • Width: 210 mm
  • ISBN-10: 0534358381
  • Publisher Date: 31 Oct 1998
  • Binding: Hardback
  • Language: English
  • Weight: 1111 gr


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